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Finding the Fourth Proportional to 82,665, 123,997.56 and 27,261

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Solution

The fourth proportional to 82,665, 123,997.56 and 27,261 is: 40,891.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,665 : 123,997.56 = 27,261 : x
  2. Step 2: Convert to fraction form
    82,665/123,997.56 = 27,261/x
  3. Step 3: Cross multiply
    82,665x = 123,997.56 × 27,261
  4. Step 4: Simplify right side
    82,665x = 3,380,297,483.16
  5. Step 5: Solve for x
    x = 3,380,297,483.16/82,665
  6. Step 6: Final answer
    x = 40,891.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.